# A model for two-dimensional bursty turbulence in magnetized plasmas

## Abstract

The nonlinear dynamics of two-dimensional electrostatic interchange modes in a magnetized plasma is investigated through a simple model that replaces the instability mechanism due to magnetic field curvature by an external source of vorticity and mass. Simulations in a cylindrical domain, with a spatially localized and randomized source at the center of the domain, reveal the eruption of mushroom-shaped bursts that propagate radially and are absorbed by the boundaries. Burst sizes and the interburst waiting times exhibit power-law statistics, which indicates long-range interburst correlations, similar to what has been found in sandpile models for avalanching systems. It is shown from the simulations that the dynamics can be characterized by a Yaglom relation for the third-order mixed moment involving the particle number density as a passive scalar and the ExB drift velocity, and hence that the burst phenomenology can be described within the framework of turbulence theory. Statistical features are qualitatively in agreement with experiments of intermittent transport at the edge of plasma devices, and suggest that essential features such as transport can be described by this simple model of bursty turbulence.

- Authors:

- Dipartimento di Fisica, Universita della Calabria, Ponte P. Bucci Cubo 31C, 87036 Rende (Italy)
- (Italy) and Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Universita della Calabria, ponte P. Bucci Cubo 33B, 87036 Rende (Italy)
- (France)
- (Norway)

- Publication Date:

- OSTI Identifier:
- 21069954

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 15; Journal Issue: 1; Other Information: DOI: 10.1063/1.2825656; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CORRELATIONS; ELECTROMAGNETIC FIELDS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; PLASMA; PLASMA DENSITY; PLASMA DRIFT; PLASMA INSTABILITY; PLASMA SIMULATION; TURBULENCE; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Servidio, Sergio, Primavera, Leonardo, Carbone, Vincenzo, Noullez, Alain, Rypdal, Kristoffer, Dipartimento di Fisica, Universita della Calabria, Ponte P. Bucci Cubo 31C, 87036 Rende, Observatoire de la Cote d'Azur, 06304 Nice, and Department of Physics and Technology, University of Tromsoe, N-9037 Tromsoe.
```*A model for two-dimensional bursty turbulence in magnetized plasmas*. United States: N. p., 2008.
Web. doi:10.1063/1.2825656.

```
Servidio, Sergio, Primavera, Leonardo, Carbone, Vincenzo, Noullez, Alain, Rypdal, Kristoffer, Dipartimento di Fisica, Universita della Calabria, Ponte P. Bucci Cubo 31C, 87036 Rende, Observatoire de la Cote d'Azur, 06304 Nice, & Department of Physics and Technology, University of Tromsoe, N-9037 Tromsoe.
```*A model for two-dimensional bursty turbulence in magnetized plasmas*. United States. doi:10.1063/1.2825656.

```
Servidio, Sergio, Primavera, Leonardo, Carbone, Vincenzo, Noullez, Alain, Rypdal, Kristoffer, Dipartimento di Fisica, Universita della Calabria, Ponte P. Bucci Cubo 31C, 87036 Rende, Observatoire de la Cote d'Azur, 06304 Nice, and Department of Physics and Technology, University of Tromsoe, N-9037 Tromsoe. Tue .
"A model for two-dimensional bursty turbulence in magnetized plasmas". United States. doi:10.1063/1.2825656.
```

```
@article{osti_21069954,
```

title = {A model for two-dimensional bursty turbulence in magnetized plasmas},

author = {Servidio, Sergio and Primavera, Leonardo and Carbone, Vincenzo and Noullez, Alain and Rypdal, Kristoffer and Dipartimento di Fisica, Universita della Calabria, Ponte P. Bucci Cubo 31C, 87036 Rende and Observatoire de la Cote d'Azur, 06304 Nice and Department of Physics and Technology, University of Tromsoe, N-9037 Tromsoe},

abstractNote = {The nonlinear dynamics of two-dimensional electrostatic interchange modes in a magnetized plasma is investigated through a simple model that replaces the instability mechanism due to magnetic field curvature by an external source of vorticity and mass. Simulations in a cylindrical domain, with a spatially localized and randomized source at the center of the domain, reveal the eruption of mushroom-shaped bursts that propagate radially and are absorbed by the boundaries. Burst sizes and the interburst waiting times exhibit power-law statistics, which indicates long-range interburst correlations, similar to what has been found in sandpile models for avalanching systems. It is shown from the simulations that the dynamics can be characterized by a Yaglom relation for the third-order mixed moment involving the particle number density as a passive scalar and the ExB drift velocity, and hence that the burst phenomenology can be described within the framework of turbulence theory. Statistical features are qualitatively in agreement with experiments of intermittent transport at the edge of plasma devices, and suggest that essential features such as transport can be described by this simple model of bursty turbulence.},

doi = {10.1063/1.2825656},

journal = {Physics of Plasmas},

number = 1,

volume = 15,

place = {United States},

year = {Tue Jan 15 00:00:00 EST 2008},

month = {Tue Jan 15 00:00:00 EST 2008}

}